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Finding the Fourth Proportional to 195.92, 270.13 and 158.98

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Solution

The fourth proportional to 195.92, 270.13 and 158.98 is: 219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.92 : 270.13 = 158.98 : x
  2. Step 2: Convert to fraction form
    195.92/270.13 = 158.98/x
  3. Step 3: Cross multiply
    195.92x = 270.13 × 158.98
  4. Step 4: Simplify right side
    195.92x = 42,945.27
  5. Step 5: Solve for x
    x = 42,945.27/195.92
  6. Step 6: Final answer
    x = 219.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.